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Question

Data Interpretation Question on Data Sufficiency

Question below is followed by two statements, labelled (A) and (B). Decide whether the data given in the statements is sufficient for answering the question.

Given****InformationColumn AColumn B
aa+b\frac{a}{a+b} = cc+d\frac {c}{c+d}cb ad
A

The two quantities are equal

B

The quantity in column B is greater

C

The quantity in column A is greater

D

The relationship cannot be determined from the information given.

Answer

The two quantities are equal

Explanation

Solution

aa+b=cc+d\frac{a}{a+b}=\frac{c}{c+d}
On solving, we get by cross multiplying,
\Rightarrow\;$$ac + ad = ac + bc
\Rightarrow\;$$\text{ad = bc Hence Column A = Column B}

The correct option is (A): The two quantities are equal